Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 1-2 - Cumulative Review: 25

Answer

$x = 3$ $y = 4$

Work Step by Step

$2x + 5y = 26$ $10x-3y = 18$ $2x = 26 - 5y$ $x = \frac{26-5y}{2}$ $10(\frac{26-5y}{2}) - 3y = 18$ $10(26-5y) - 2(3y) = 2(18)$ $260 - 50y - 6y = 36$ $260 - 56y = 36$ $-56y = -224$ $56y = 224$ $y = \frac{224}{56}$ $y = 4$ $2x = 26 - 5y$ $x = \frac{26-5(4)}{2}$ $x = \frac{26-20}{2}$ $x = \frac{6}{2}$ $x = 3$ Check: $10x - 3y \overset{?}{=} 18$ $10(3) - 3(4) \overset{?}{=} 18$ $30 - 12 \overset{?}{=} 18$ $18 = 18$
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